University of Birmingham > Talks@bham > Groups St Andrews 2017 > Local-global conjectures (Part 1)

Local-global conjectures (Part 1)

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The ordinary and modular representation theory of finite groups abounds with open conjectures that relate the representation theory of a group to that of its local subgroups. We will present some of these conjectures as well as recent substantial progress which was obtained by way of reduction to the situation of quasi-simple groups and application of results relying on Lusztig’s theory of characters of finite reductive groups.

The first part of this course, providing basics of block theory and of representation theory of finite groups of Lie type will be joint with the one by Radha Kessar.

This talk is part of the Groups St Andrews 2017 series.

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